Article ID: CBB760218453

La tabula tabularum de Jean de Murs et les modèles de l’arithmétique médiévale (2014)


Jean de Murs (active ca. 1317-1345), while a master at the Faculté des Arts in Paris, wrote a text in 1321 outlining the uses of a multiplication table of two-position sexagesimal numbers. The result of this work, although it does not total more than 3500 words, has much more to teach us about medieval arithmetic in an astronomical context than we might expect at first sight. The Tabula tabularum has two particularly interesting characteristics for the historian of mathematics. First, the text is not completely smooth and one can trace the different stages of its composition in order to follow the moments of John de Murs' reasoning. Secondly, the text is intended to be a universal tool for calculation and, if it succeeds only imperfectly, it nevertheless confronts deep mathematical questions about the nature of numbers and the relations between the different arithmetical operations. These two aspects of the text allow us to analyze the heuristic and creative functions of models in medieval arithmetic.

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Authors & Contributors
Goldstein, Bernard R.
Wang, Xiaofei
Currie, Adrian
Savadi, Fatemeh
Nikfahm Khubravan, Sajjad
Rommevaux-Tani, Sabine
Archive for History of Exact Sciences
History and Philosophy of the Life Sciences
Studies in History and Philosophy of Science
Physics in Perspective
Historia Mathematica
Written Heritage Research Institute (Miras-e Maktoob)
Oxford University Press
Mzinhigan Publishing
Catholic University of America
Models and modeling in science
Number theory; number concept
Mathematics and its relationship to nature
Brito, Radulphus
Gauss, Carl Friedrich
Zeising, Adolf
Noether, Emmy
Minkowski, Hermann
Time Periods
19th century
20th century
Early modern
Rome (Italy)
Persia (Iran)
Paris (France)
Université de Paris
University of Chicago

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